660
Index
Euclidean black holes (cont.)
CFT Hamiltonian, 394
Chern–Simons connections, 393
Chern–Simons theory, 396
definition, 393
diagonal matrices containing, 396
eigenvalues, 394, 397
holomorphic, 393, 396
Legendre transformation, 393
novel properties, 395
signature, 397
smoothness conditions, 395–397
time direction, 394
topology, 395
torus, 394
zero modes, 393, 396
Euclidean Dirac algebra, 339, 341
Euclidean Dirac matrices, 339
Euclidean space-time, 502
Euler–Lagrange equation, 536
Euler–Poincaré characters, 65
Evolution operator, 103, 105
Exact solutions
quantum invariants, 295–303
Exclusion limits for heavy right-handed W
boson, 587
Explicit differential operators, 113
External reference system, 624
Extremal black holes
conventional gravitational theories,
398–399
Lorentzian, 398
sl(3), 399–402
string theory, 398
F
Feebly interacting massive particle (FIMP)
candidates, 428
couplings, 428
DM, 432
fermionic, 431, 434
freeze-in production, 429
Higgs and SM gauge, 429
Peccei–Quinn operator, 428
radiation era, 431
rate densities, 430
scalar, 428
s-channel annihilations, 429
time/temperature-dependent interaction,
430
Fermi–Dirac and Bose–Einstein occupation
factors, 310
Fermi energy, 361
Fermion bilinear scaling dimensions, 342–343
Fermionic action, 248
Fermionic DM, 434
Fermionic DM candidates, 434
Fermi velocity, 265
Ferromagnetic instability, PAAI
domain walls, 484–485
exchange energy, 483, 484
fermions, 483
Landau fermi liquid formalism, 483
quasi-particle energy, 484
relativistic setting, 483
Feynman diagrams, 310
Feynman–Kac Formula, 524–526
Fields oscillations, 420
Finite order symmetry operators, 113
Finite spectral triple, 246–248
Finite-temperature angular holonomy, 400
First-order perturbation theory, 310
First-order SUSY QM, 265
First-principles EPI, 309–311
Fisher forecasting formalism, 460–462
Flavor-changing neutral-current (FCNC), 576,
579
Fock states, 256
Fokker–Planck equation, 522, 525
Foreground avoidance and subtraction
techniques, 458
Four-dimensional de Sitter space, 448
4D pseudo-Euclidean static system, 502
Four-dimensional effective field theory,
453
Fourier transforms, 377
Fourth-order Volterra-like equations, 71
Fractionalized phase, 337–338
Free electromagnetic field, 372
Free electromagnetism, 366
Free-field fixed point, 341
Free-particle Salpeter equation, 102
Freeze-in mechanism, 427
Freeze-in temperature, 429
Freezing trick, 3–4
Frequency-dependent electron–phonon
self-energy, 309
Frustrated magnetism, 338
Fusion matrix, 280
G
Galactic scale magnetic fields, 486
Galaxy power spectrum, 547–459
Gamma matrices, 341
Gap function, 364
Gauge coupling, 340
Index
Euclidean black holes (cont.)
CFT Hamiltonian, 394
Chern–Simons connections, 393
Chern–Simons theory, 396
definition, 393
diagonal matrices containing, 396
eigenvalues, 394, 397
holomorphic, 393, 396
Legendre transformation, 393
novel properties, 395
signature, 397
smoothness conditions, 395–397
time direction, 394
topology, 395
torus, 394
zero modes, 393, 396
Euclidean Dirac algebra, 339, 341
Euclidean Dirac matrices, 339
Euclidean space-time, 502
Euler–Lagrange equation, 536
Euler–Poincaré characters, 65
Evolution operator, 103, 105
Exact solutions
quantum invariants, 295–303
Exclusion limits for heavy right-handed W
boson, 587
Explicit differential operators, 113
External reference system, 624
Extremal black holes
conventional gravitational theories,
398–399
Lorentzian, 398
sl(3), 399–402
string theory, 398
F
Feebly interacting massive particle (FIMP)
candidates, 428
couplings, 428
DM, 432
fermionic, 431, 434
freeze-in production, 429
Higgs and SM gauge, 429
Peccei–Quinn operator, 428
radiation era, 431
rate densities, 430
scalar, 428
s-channel annihilations, 429
time/temperature-dependent interaction,
430
Fermi–Dirac and Bose–Einstein occupation
factors, 310
Fermi energy, 361
Fermion bilinear scaling dimensions, 342–343
Fermionic action, 248
Fermionic DM, 434
Fermionic DM candidates, 434
Fermi velocity, 265
Ferromagnetic instability, PAAI
domain walls, 484–485
exchange energy, 483, 484
fermions, 483
Landau fermi liquid formalism, 483
quasi-particle energy, 484
relativistic setting, 483
Feynman diagrams, 310
Feynman–Kac Formula, 524–526
Fields oscillations, 420
Finite order symmetry operators, 113
Finite spectral triple, 246–248
Finite-temperature angular holonomy, 400
First-order perturbation theory, 310
First-order SUSY QM, 265
First-principles EPI, 309–311
Fisher forecasting formalism, 460–462
Flavor-changing neutral-current (FCNC), 576,
579
Fock states, 256
Fokker–Planck equation, 522, 525
Foreground avoidance and subtraction
techniques, 458
Four-dimensional de Sitter space, 448
4D pseudo-Euclidean static system, 502
Four-dimensional effective field theory,
453
Fourier transforms, 377
Fourth-order Volterra-like equations, 71
Fractionalized phase, 337–338
Free electromagnetic field, 372
Free electromagnetism, 366
Free-field fixed point, 341
Free-particle Salpeter equation, 102
Freeze-in mechanism, 427
Freeze-in temperature, 429
Freezing trick, 3–4
Frequency-dependent electron–phonon
self-energy, 309
Frustrated magnetism, 338
Fusion matrix, 280
G
Galactic scale magnetic fields, 486
Galaxy power spectrum, 547–459
Gamma matrices, 341
Gap function, 364
Gauge coupling, 340